Starting with a gentle approach to the Alday–Gaiotto–Tachikawa (AGT) correspondence
from its 6d origin, these notes provide a wide (albeit shallow) survey of the literature on …

A bstract We sharpen Swampland constraints on 8d supergravity theories by studying
consistency conditions on worldvolume theory of 3-brane probes. Combined with a stronger …

A bstract We study the asymptotic behavior of the (modified) superconformal index for
4d\(\mathcal {N}\)= 1 gauge theory. By considering complexified chemical potential, we find …

A bstract We define and study a class of\(\mathcal {N}\)= 2 vertex operator
algebras\({\mathcal {W}} _ {\mathrm {G}}\) labelled by complex reflection groups. They are …

A bstract We study the stratification of the singular locus of four dimensional\(\mathcal {N}\)=
2 Coulomb branches. We present a set of self-consistency conditions on this stratification …

A bstract We carry out a systematic study of 4d\(\mathcal {N}\)= 2 preserving S-folds of F-
theory 7-branes and the worldvolume theories on D3-branes probing them. They consist of …

A bstract In this paper we begin mapping out the space of rank-2\(\mathcal {N}\)= 2
superconformal field theories (SCFTs) in four dimensions. This represents an ideal set of …

We give an elementary proof of the following property of unitary, interacting four-dimensional
N= 2 superconformal field theories: At large central charge c, there exist at least c single …

A bstract There is a well-known map from 4d\(\mathcal {N}\)= 2 superconformal field theories
(SCFTs) to 2d vertex operator algebras (VOAs). The 4d Schur index corresponds to the VOA …

A bstract We consider compactifications of very Higgsable 6d\(\mathcal {N}\)=(1, 0) SCFTs
on T 2 with non-trivial Stiefel-Whitney classes (or equivalently't Hooft magnetic fluxes) …